CN103400211A - Electric vehicle charging scheme optimization method based on system marginal power generation cost - Google Patents

Abstract

The invention discloses an electric vehicle charging scheme optimization method based on the system marginal power generation cost, which is characterized in that on the basis of unit combination and economic dispatch, by taking the marginal power generation cost as a decision basis, a charging scheme of electric vehicles in a whole dispatch time period is optimized, and the total charging cost of the electric vehicles is guaranteed to be lowest. The method comprises the steps that according to the technical characteristics and charging modes of the electric vehicles, the whole dispatch time period is divided into a plurality of charging intervals; the average marginal power generation cost of each usable charging interval is computed subsequently; and the electric vehicles are preferably arranged to be charged in the charging interval with the lowest average marginal power generation cost. The steps are performed iteratively till all the electric vehicles are charged. In the iteration process, if all the charging intervals cannot be used due to limitation of the starting capacity in the existing unit combination scheme, a new unit is started according to a principle that the additional starting cost is lowest for continuing the whole charging scheme optimization process.

Description

A kind of scheme optimization of charging electric vehicle based on System Margin cost of electricity-generating method

Technical field

The present invention relates to electric vehicle engineering, be specifically related to a kind of charging electric vehicle scheme optimization method of machine set system marginal generating cost.

Background technology

Fuel-engined vehicle gives off a large amount of greenhouse gases and dusty gas when consuming most of petroleum resources, environmental protection and sustainable development have been brought huge challenge.Compare with orthodox car, electric automobile, having unrivaled advantage aspect alleviating energy crisis, the harmonious development of promotion people and environment, has become the focus that national governments, energy manufacturer and automobile manufacturing company are paid close attention at present.Along with the continuous progress of battery production, manufacturing technology, increasingly sharpening of environmental pollution and petering out of petroleum resources, electric automobile shared ratio in road traffic system will improve day by day.

Under present technical conditions, electric automobile is mainly completed charging process by the charging pile that links with electrical network.Thereby from the electrical network angle, the networking electric automobile is the newly-increased load of electric system, and it will significantly increase the operating cost of whole electric system.Along with the raising gradually of electric automobile permeability in electrical network, its charging behavior will be day by day remarkable on the impact of cost of electricity-generating, thereby be necessary to optimize the charging scheme of networking electric automobile, realize charging in order, the total charging cost of reduce electric automobile.

For realizing the optimum charging of electric automobile, prior art is by introducing the decision variable that characterizes the charging electric vehicle scheme in the Unit Combination model, set up and consider the electrically optimized expansion unit built-up pattern of electric vehicle charging, and utilize optimized algorithm this model to be solved to obtain the optimum charging scheme of electric automobile, thereby practice every conceivable frugality charging cost.Specific descriptions about this technology can be referring to document one " Intelligent unit commitment with vehicle-to-grid-A cost-emission optimization " (Journal of Power Sources, the 898th page to 911 pages of 195 the 5th phases of volume in 2010) with document two " taking into account the electric system unit commitment of the electric automobile that can network " (Automation of Electric Systems, 2011 the 35th the 20th phase of volume the 16th page to the 20th page).This technology can be optimized the charging scheme of electric automobile, but will exist following 2 weak points.

At first, model solution is more difficult.Known from institute, Power System Unit Commitment belongs to and contains mixing variable, multi-period, nonlinear dynamic optimization problem, be difficult to obtain globally optimal solution, this conclusion can be referring to document three " solving the improved mode searching algorithm of Optimization of Unit Commitment By Improved " (Proceedings of the CSEE, 2011 the 31st the 28th phase of volume the 33rd page to 41 pages).Obviously, the electrically optimized expansion unit built-up pattern of consideration electric vehicle charging that comes from the unit model expansion will be difficult to solve more, epimere provides list of references and adopts respectively particle cluster algorithm and MILP (Mixed Integer Linear Programming) method to solve model, there are certain difficulty in solution procedure more complicated, algorithm application when actual scale electric system solves.

Secondly, modeling process has been ignored the charge characteristic of electric automobile fully, does not consider that the electric vehicle charging electric process is a continuous process, supposes that its in single scheduling slot (1h or 0.5h) completes charging process.

Summary of the invention

The object of the present invention is to provide a kind of scheme optimization of the charging electric vehicle based on System Margin cost of electricity-generating method that reduces the charging electric vehicle cost.

Technical solution of the present invention is:

A kind of scheme optimization of charging electric vehicle based on System Margin cost of electricity-generating method is characterized in that: comprise the following steps:

Step 1: the whole optimization period that is T hour with length according to the charge mode of electric automobile is divided into T-T _eqBetween+1 charging zone, each interval electric automobile number that arranges to charge is x _j, 1≤j≤T-T _eq-1; Electric automobile equivalence charge power and duration of charge are respectively P _eqKW and T _eqHour, parameter P _eq, T _eqThe common capacity that determines batteries of electric automobile, its different values are corresponding to the different charge modes of electric automobile;

Step 2: judge whether to exist between available charging zone according to the security requirement of system operation, if exist, perform step 4, if because having generation capacity deficiency corresponding to Unit Combination scheme now, cause all unavailablely between each charging zone performing step 3;

Step 3: on the basis of existing Unit Combination scheme, open new unit by the minimum principle of extra start cost, until occur between available charging zone;

Step 4: calculate the average system marginal generating cost E between each available charging zone _j,m, and j between the charging zone of searching average system marginal generating cost minimum _min

Step 5: according to Optimal Step Size Δ P, unit: MW, increase j between charging zone _minInterior day part t limit unit I (t) exerts oneself, that is:

P _I(t),t=P _I(t),t+ΔP j _min≤t≤j _min+T _eq-1

Increase generated output and be used for charging electric vehicle, obviously, the electric automobile number of the newly-increased charging in this interval is 1000 Δ P/P _eqAt this moment, arrange the electric automobile number x of charging in this interval _JminCan be by the following formula correction:

$x_{j\min }=x_{j\min }+\frac{1000\mathrm{\ΔP}}{P_{\mathrm{eq}}}$

Step 6: judge all electric automobiles whether arrange to charge complete, if finish calculation process and export optimum results; Otherwise, turn to step 2, continue the iterative process of algorithm, until that all electric automobiles all arrange to charge is complete.

Can judge whether to exist between available charging zone according to the security requirement of system operation described in step 2, specifically in accordance with the following methods:

If respectively charge period t(j≤t≤j+T between charging zone in j _eq-1) all meet the constraint condition that following formula provides, illustrate that this interval is between available charging zone;

$P_{l,t}+\frac{P_{\mathrm{eq}}{y}_t}{1000}+R_t\≤\underset{i=1}{\overset{N}{\mathrm{\Σ}}}{P}_{i,\max }{U}_{i,t}^{\′}$

In fact, this constraint bar judges whether the period t that respectively charges has unnecessary generating capacity to hold charging electric vehicle; In following formula, P _l,tSystem loading for period t; R _tSpinning reserve demand for period t; P _{I, max}Capacity for unit i; U _i,tFor the duty of unit i at period t, " 1 " expression start, " 0 " expression shutdown; y _tFor the electric automobile number in period t charging, it can be according to having arranged the electric automobile number that charges x in j between charging zone _jCalculate;

$y_t=\left\{\begin{array}{cc}\underset{j=1}{\overset{t}{\mathrm{\Σ}}}{x}_j& 1\≤t\≤T_{\mathrm{eq}}\\ \underset{j=t-T_{\mathrm{eq}}+1}{\overset{t}{\mathrm{\Σ}}}{x}_j& T_{\mathrm{eq}}+1\≤t\≤T-T_{\mathrm{eq}}+1\\ \underset{j=t-T_{\mathrm{eq}}+1}{\overset{{T-T}_{\mathrm{eq}}+1}{\mathrm{\Σ}}}{x}_j& T-T_{\mathrm{eq}}+2\≤t\≤T\end{array}\right...$

The concrete grammar of step 3 is:

Step 301: some period is more electric vehicle charging electric load because generation capacity deficiency can't hold, and does not namely meet constraint condition

Find these scheduling slots, be denoted by set Φ;

Step 302: the C of average unit cost at full capacity of each unit of not starting shooting in set of computations Φ _{AFLC, i}

$C_{\mathrm{AFLC},i}=\frac{a_i}{P_{i,\max }}+b_i+c_i{P}_{i,\max }$

In following formula, a _i, b _iWith c _iFuel cost coefficient for unit i;

Step 303: find in set Φ day part average unit cost C at full capacity _{AFLC, i}Minimum not start unit, attempt its operation of starting shooting, and calculate the newly-increased cost of electricity-generating C that the start operation may cause _e,t, t ∈ Φ; Should newly-increased cost of electricity-generating be formed by two parts: at first, average unit cost C at full capacity _{AFLC, i}The start cost of minimum unit itself, determined by unit parameter; Secondly, new unit start must cause the redistributing between each unit of loading, thereby likely causes the increase of fuel cost, and the increase volume of this part cost needs to obtain according to the economic load dispatching result;

Step 304: find newly-increased cost of electricity-generating C _e,tMinimum scheduling slot, and to average unit cost C at full capacity in this period _{AFLC, i}The operation of starting shooting of minimum unit; Whether there is the available charging period after judging new unit start,, if having, finish the start operation; , if no, restart to perform step 301, until the available charging period occurs.

Average system marginal generating cost E between each available charging zone of the calculating described in step 4 _j,m, specifically in accordance with the following methods:

Step 401: the marginal generating cost M of all start units of day part in calculating between charging zone according to the economic load dispatching result _i,t, its set is designated as Ω _t,

M _i,t=b _i+2c _iP _i,t

In following formula, b _iWith c _iFor the cost of electricity-generating coefficient of unit i, P _i,tFor unit i exerting oneself at period t;

Step 402: find the minimum unit of period t marginal generating cost, this unit is the marginal unit of this period, and its call number is designated as I (t); The marginal generating cost of this limit unit is the System Margin cost of electricity-generating M of this period _t

M _t=b _I(t)+2c _I(t)P _I(t),t

=min{M _i,t} i∈Ω _t

Step 403: each scheduling slot System Margin cost of electricity-generating M in j between available charging zone _tMean value E _j,mJust be this interval average system marginal generating cost, namely calculate according to the following formula the average system marginal generating cost E of j between available charging zone _j,m

$E_{j,m}=\frac{1}{T_{\mathrm{eq}}}\underset{t=j}{\overset{t=j+T_{\mathrm{eq}}-1}{\mathrm{\Σ}}}{M}_t.$

Described in step 6 judge all electric automobiles whether arrange to charge complete, specifically in accordance with the following methods:

If the electric automobile that charges between each charging zone is counted x _jSum equals electric automobile sum n to be arranged ₀, namely

Illustrate that all electric automobiles all arrange to charge complete.

Beneficial effect: compared with prior art, the advantage that the present invention gives prominence to comprises: the method is on the basis of Unit Combination and economic load dispatching, optimize the charging scheme of electric automobile take the System Margin cost of electricity-generating as decision-making foundation, method disclosed by the invention can be considered the technical characteristic of electric automobile and electric system, and have advantages of that computing velocity is fast, be applicable to the calculating of actual scale electric system.

Description of drawings

The invention will be further described below in conjunction with drawings and Examples.

Fig. 1 is economic load dispatching schematic diagram of the present invention.

Fig. 2 is process flow diagram of the present invention.

Fig. 3 judges whether to exist process flow diagram between available charging zone.

Fig. 4 is the average system marginal generating cost process flow diagram that calculates between each available charging zone.

Fig. 5 is divided into T-T the whole optimization period that the charge mode according to electric automobile is T hour with length _eqSchematic diagram between+1 charging zone.

Embodiment

As shown in Figure 1, charging electric vehicle based on System Margin cost of electricity-generating scheme optimization method of the present invention, on the basis of Unit Combination, economic load dispatching, take the System Margin cost of electricity-generating as decision-making foundation, the charging behavior of scheduling networking electric automobile, the target of scheduling is that the total charging cost of electric automobile is minimum.

The method is in fact the process of a loop iteration, namely finds average system marginal generating cost E _j,mBetween minimum available charging zone, the electric automobile of giving priority in arranging for is in this interval charging, thus the reduce charging cost.In iteration, may because of existing generation capacity deficiency corresponding to start scheme cause between all charging zones all unavailable, at this moment, should be according to the minimum principle opening section of start cost unit, thereby continue whole iterative process.As shown in Figure 2, step is as follows for idiographic flow of the present invention:

(1), be T(unit according to the charge mode of electric automobile with length: whole optimization period h) is divided into T-T _eqBetween+1 charging zone, each interval electric automobile number that arranges to charge is x _j(1≤j≤T-T _eq-1).Electric automobile equivalence charge power and duration of charge are respectively P _eq(unit: kW) and T _eq(unit: h), parameter P _eq, T _eqThe common capacity that determines batteries of electric automobile, its different values are corresponding to the different charge modes of electric automobile.

(2), for guaranteeing power system security, reliability service, electric system when guaranteeing the load power supply that comprises the electric vehicle charging electric load, also should leave certain spinning reserve.Therefore, the present invention judges whether to exist between available charging zone according to this requirement.If exist to perform step 4, if cause all unavailablely between each charging zone performing step 3 because of generation capacity deficiency corresponding to start scheme.

Judge whether to exist the method between available charging zone as follows:

If respectively charge period t(j≤t≤j+T between charging zone in j _eq-1) all meet the constraint condition that following formula provides, illustrate that this interval is between available charging zone.

$P_{l,t}+\frac{P_{\mathrm{eq}}{y}_t}{1000}+R_t\≤\underset{i=1}{\overset{N}{\mathrm{\Σ}}}{P}_{i,\max }{U}_{i,t}^{\′}$

In fact, this constraint bar judges whether the period t that respectively charges has unnecessary generating capacity to hold charging electric vehicle.In following formula, P _l,tSystem loading for period t; R _tSpinning reserve demand for period t; P _{I, max}Capacity for unit i; U _i,tFor the duty of unit i at period t, " 1 " expression start, " 0 " expression shutdown; y _tFor the electric automobile number in period t charging, it can be according to having arranged the electric automobile number that charges x in j between charging zone _jCalculate.

$y_t=\left\{\begin{array}{cc}\underset{j=1}{\overset{t}{\mathrm{\Σ}}}{x}_j& 1\≤t\≤T_{\mathrm{eq}}\\ \underset{j=t-T_{\mathrm{eq}}+1}{\overset{t}{\mathrm{\Σ}}}{x}_j& T_{\mathrm{eq}}+1\≤t\≤T-T_{\mathrm{eq}}+1\\ \underset{j=t-T_{\mathrm{eq}}+1}{\overset{{T-T}_{\mathrm{eq}}+1}{\mathrm{\Σ}}}{x}_j& T-T_{\mathrm{eq}}+2\≤t\≤T\end{array}\right.$

(3), on the basis of existing Unit Combination scheme, open new unit by the minimum principle of extra start cost, until occur between available charging zone, as shown in Figure 3, concrete steps are as follows for its flow process:

1), some period because generation capacity deficiency can't hold more electric vehicle charging electric load, namely do not meet constraint condition

Find these scheduling slots, be denoted by set Φ.

2), the C of average unit cost at full capacity of each unit of not starting shooting in set of computations Φ _{AFLC, i}

$C_{\mathrm{AFLC},i}=\frac{a_i}{P_{i,\max }}+b_i+c_i{P}_{i,\max }$

In following formula, a _i, b _iWith c _iFor the fuel cost coefficient of unit i, in general, these three parameters be on the occasion of.

3), find in set Φ day part average unit cost C at full capacity _{AFLC, i}Minimum not start unit, attempt its operation of starting shooting, and calculate the newly-increased cost of electricity-generating C that the start operation may cause _e,t(t ∈ Φ).Should newly-increased cost of electricity-generating be formed by two parts: at first, average unit cost C at full capacity _{AFLC, i}The start cost of minimum unit itself (by unit parameter, being determined); Secondly, new unit start must cause the redistributing between each unit of loading, thereby likely causes the increase of fuel cost, and the increase volume of this part cost needs to obtain according to the economic load dispatching result.

4), find newly-increased cost of electricity-generating C _e,tMinimum scheduling slot, and to average unit cost C at full capacity in this period _{AFLC, i}The operation of starting shooting of minimum unit.Whether there is the available charging period after judging new unit start,, if having, finish the start operation; , if no, restart to perform step 1), until the available charging period occurs.

(4), step 4, calculate the average system marginal generating cost E between each available charging zone _j,m, and j between the charging zone of searching average system marginal generating cost minimum _minCalculate the flow process of average system marginal generating cost between available charging zone as shown in Figure 4, concrete steps are as follows:

1) in, according to the economic load dispatching result, calculating between charging zone, (its set is designated as Ω to all start units of day part _t) marginal generating cost M _i,t

M _i,t=b _i+2c _iP _i,t

In following formula, b _iWith c _iFor the cost of electricity-generating coefficient of unit i, P _i,tFor unit i exerting oneself at period t.

2), find the minimum unit of period t marginal generating cost, this unit is the marginal unit of this period, its call number is designated as I (t).The marginal generating cost of this limit unit is the System Margin cost of electricity-generating M of this period _t

M _t=b _I(t)+2c _I(t)P _I(t),t

=min{M _i,t} i∈Ω _t

3), interior each scheduling slot System Margin cost of electricity-generating M of j between available charging zone _tMean value E _j,mJust be this interval average system marginal generating cost, namely calculate according to the following formula the average system marginal generating cost E of j between available charging zone _j,m

$E_{j,m}=\frac{1}{T_{\mathrm{eq}}}\underset{t=j}{\overset{t=j+T_{\mathrm{eq}}-1}{\mathrm{\Σ}}}{M}_t$

(5), according to Optimal Step Size Δ P(unit: MW) increase j between charging zone _minInterior day part t limit unit I (t) exerts oneself, that is:

P _I(t),t=P _I(t),t+ΔP j _min≤t≤j _min+T _eq-1

Increase generated output and be used for charging electric vehicle, obviously, the electric automobile number of the newly-increased charging in this interval is 1000 Δ P/P _eqAt this moment, arrange the electric automobile number x of charging in this interval _JminCan be by the following formula correction:

$x_{j\min }=x_{j\min }+\frac{1000\mathrm{\ΔP}}{P_{\mathrm{eq}}}$

(6), judge whether all electric automobiles arrange to charge complete.If finish calculation process and export optimum results; Otherwise, turn to step 2, continue the iterative process of algorithm, until that all electric automobiles all arrange to charge is complete.All electric automobiles of judgement electricity complete concrete grammar that whether charges is as follows.

If the electric automobile that charges between each charging zone is counted x _jSum equals electric automobile sum n to be arranged ₀, namely

Illustrate that all electric automobiles all arrange to charge complete.

Claims (5)

1. the scheme optimization of the charging electric vehicle based on System Margin cost of electricity-generating method is characterized in that: comprise the following steps:

Step 1: the whole optimization period that is T hour with length according to the charge mode of electric automobile is divided into T-T _eqBetween+1 charging zone, each interval electric automobile number that arranges to charge is x _j, 1≤j≤T-T _eq-1; Electric automobile equivalence charge power and duration of charge are respectively P _eqKW and T _eqHour, parameter P _eq, T _eqThe common capacity that determines batteries of electric automobile, its different values are corresponding to the different charge modes of electric automobile;

Step 2: judge whether to exist between available charging zone according to the security requirement of system operation, if exist, perform step 4, if because having generation capacity deficiency corresponding to Unit Combination scheme now, cause all unavailablely between each charging zone performing step 3;

Step 3: on the basis of existing Unit Combination scheme, open new unit by the minimum principle of extra start cost, until occur between available charging zone;

Step 4: calculate the average system marginal generating cost E between each available charging zone _j,m, and j between the charging zone of searching average system marginal generating cost minimum _min

Step 5: according to Optimal Step Size Δ P, unit: MW, increase j between charging zone _minInterior day part t limit unit I (t) exerts oneself, that is:

P _I(t),t=P _I(t),t+ΔP j _min≤t≤j _min+T _eq-1

Increase generated output and be used for charging electric vehicle, obviously, the electric automobile number of the newly-increased charging in this interval is 1000 Δ P/P _eqAt this moment, arrange the electric automobile number x of charging in this interval _JminCan be by the following formula correction:

$x_{j\min }=x_{j\min }+\frac{1000\mathrm{\ΔP}}{P_{\mathrm{eq}}}$

Step 6: judge all electric automobiles whether arrange to charge complete, if finish calculation process and export optimum results; Otherwise, turn to step 2, continue the iterative process of algorithm, until that all electric automobiles all arrange to charge is complete.

2. the scheme optimization of the charging electric vehicle based on System Margin cost of electricity-generating method according to claim 1, it is characterized in that: can judge whether to exist between available charging zone according to the security requirement of system operation described in step 2, specifically in accordance with the following methods:

If respectively charge period t(j≤t≤j+T between charging zone in j _eq-1) all meet the constraint condition that following formula provides, illustrate that this interval is between available charging zone;

$P_{l,t}+\frac{P_{\mathrm{eq}}{y}_t}{1000}+R_t\≤\underset{i=1}{\overset{N}{\mathrm{\Σ}}}{P}_{i,\max }{U}_{i,t}^{\′}$

In fact, this constraint bar judges whether the period t that respectively charges has unnecessary generating capacity to hold charging electric vehicle; In following formula, P _l,tSystem loading for period t; R _tSpinning reserve demand for period t; P _{I, max}Capacity for unit i; U _i,tFor the duty of unit i at period t, " 1 " expression start, " 0 " expression shutdown; y _tFor the electric automobile number in period t charging, it can be according to having arranged the electric automobile number that charges x in j between charging zone _jCalculate;

$y_t=\left\{\begin{array}{cc}\underset{j=1}{\overset{t}{\mathrm{\Σ}}}{x}_j& 1\≤t\≤T_{\mathrm{eq}}\\ \underset{j=t-T_{\mathrm{eq}}+1}{\overset{t}{\mathrm{\Σ}}}{x}_j& T_{\mathrm{eq}}+1\≤t\≤T-T_{\mathrm{eq}}+1\\ \underset{j=t-T_{\mathrm{eq}}+1}{\overset{{T-T}_{\mathrm{eq}}+1}{\mathrm{\Σ}}}{x}_j& T-T_{\mathrm{eq}}+2\≤t\≤T\end{array}\right...$

3. the scheme optimization of the charging electric vehicle based on System Margin cost of electricity-generating method according to claim 1, it is characterized in that: the concrete grammar of step 3 is:

Step 301: some period is more electric vehicle charging electric load because generation capacity deficiency can't hold, and does not namely meet constraint condition

Find these scheduling slots, be denoted by set Φ;

Step 302: the C of average unit cost at full capacity of each unit of not starting shooting in set of computations Φ _{AFLC, i}

$C_{\mathrm{AFLC},i}=\frac{a_i}{P_{i,\max }}+b_i+c_i{P}_{i,\max }$

In following formula, a _i, b _iWith c _iFuel cost coefficient for unit i;

Step 303: find in set Φ day part average unit cost C at full capacity _{AFLC, i}Minimum not start unit, attempt its operation of starting shooting, and calculate the newly-increased cost of electricity-generating C that the start operation may cause _e,t, t ∈ Φ; Should newly-increased cost of electricity-generating be formed by two parts: at first, average unit cost C at full capacity _{AFLC, i}The start cost of minimum unit itself, determined by unit parameter; Secondly, new unit start must cause the redistributing between each unit of loading, thereby likely causes the increase of fuel cost, and the increase volume of this part cost needs to obtain according to the economic load dispatching result;

Step 304: find newly-increased cost of electricity-generating C _e,tMinimum scheduling slot, and to average unit cost C at full capacity in this period _{AFLC, i}The operation of starting shooting of minimum unit; Whether there is the available charging period after judging new unit start,, if having, finish the start operation; , if no, restart to perform step 301, until the available charging period occurs.

4. the scheme optimization of the charging electric vehicle based on System Margin cost of electricity-generating method according to claim 1, is characterized in that: the average system marginal generating cost E between each available charging zone of the calculating described in step 4 _j,m, specifically in accordance with the following methods:

Step 401: the marginal generating cost M of all start units of day part in calculating between charging zone according to the economic load dispatching result _i,t, its set is designated as Ω _t,

M _i,t=b _i+2c _iP _i,t

In following formula, b _iWith c _iFor the cost of electricity-generating coefficient of unit i, P _i,tFor unit i exerting oneself at period t;

Step 402: find the minimum unit of period t marginal generating cost, this unit is the marginal unit of this period, and its call number is designated as I (t); The marginal generating cost of this limit unit is the System Margin cost of electricity-generating M of this period _t

M _t=b _I(t)+2c _I(t)P _I(t),t

=min{M _i,t} i∈Ω _t

Step 403: each scheduling slot System Margin cost of electricity-generating M in j between available charging zone _tMean value E _j,mJust be this interval average system marginal generating cost, namely calculate according to the following formula the average system marginal generating cost E of j between available charging zone _j,m

$E_{j,m}=\frac{1}{T_{\mathrm{eq}}}\underset{t=j}{\overset{t=j+T_{\mathrm{eq}}-1}{\mathrm{\Σ}}}{M}_t.$

5. the scheme optimization of the charging electric vehicle based on System Margin cost of electricity-generating method according to claim 1 is characterized in that: described in step 6 judge all electric automobiles whether arrange to charge complete, specifically in accordance with the following methods:

If the electric automobile that charges between each charging zone is counted x _jSum equals electric automobile sum n to be arranged ₀, namely

Illustrate that all electric automobiles all arrange to charge complete.

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